8274282888960 has 1296 divisors, whose sum is σ = 33519333792672. Its totient is φ = 1868365824000.

The previous prime is 8274282888929. The next prime is 8274282888961. The reversal of 8274282888960 is 698882824728.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8274282888961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3698828962 + ... + 3698831198.

It is an arithmetic number, because the mean of its divisors is an integer number (25863683482).

Almost surely, 2^{8274282888960} is an apocalyptic number.

8274282888960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8274282888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759666896336).

8274282888960 is an abundant number, since it is smaller than the sum of its proper divisors (25245050903712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8274282888960 is a wasteful number, since it uses less digits than its factorization.

8274282888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 8274282888960 in words is "eight trillion, two hundred seventy-four billion, two hundred eighty-two million, eight hundred eighty-eight thousand, nine hundred sixty".